Nonholonomic mapping principle for classical and quantum mechanics in spaces with curvature and torsion.

DOI10.1023/A:1001962922592zbMath1052.81572arXivgr-qc/0203029MaRDI QIDQ1582417

Hagen Kleinert

Publication date: 2000

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0203029

zbMATH Keywords

Autoparallel versus geodetic motion

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Path integrals in quantum mechanics (81S40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Hamilton's principle (70H25)

Related Items

Emergence of an aperiodic Dirichlet space from the tetrahedral units of an icosahedral internal space, On tangent geometry and generalised continuum with defects, INTEGRALS OVER PRODUCTS OF DISTRIBUTIONS FROM PERTURBATION EXPANSIONS OF PATH INTEGRALS IN CURVED SPACE, The cosmological constant from the extended theory of gravitation in Clifford spaces, Single crystal plasticity with bend-twist modes, Connection Structures of Topological Singularity in Micromechanics from a Viewpoint of Generalized Finsler Space, Finsler geometry of topological singularities for multi-valued fields: Applications to continuum theory of defects, Constraining spacetime torsion with LAGEOS, Duality in \(2+1\) D quantum elasticity: superconductivity and quantum nematic order., Nematic world crystal model of gravity explaining absence of torsion in spacetime, Autoparallels from a new action principle, Decomposition of almost Poisson structure of non-self-adjoint dynamical systems, Unnamed Item, Cosmology with curvature-saturated gravitational Lagrangian \(R/\sqrt{1 + l^4 R^2}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The differential geometry of elementary point and line defects in Bravais crystals
• Regge calculus and observations. I. Formalism and applications to radial motion and circular orbits
• Spinless matter in transposed-equi-affine theory of gravity
• Autoparallels from a new action principle
• ON MINIMAL COUPLING IN RIEMANN-CARTAN SPACE-TIMES
• Invariant Theoretical Interpretation of Interaction
• Lorentz Invariance and the Gravitational Field
• First integrals for the equations of motion for test particles with internal structure
• THE EXTRA GAUGE SYMMETRY OF STRING DEFORMATIONS IN ELECTROMAGNETISM WITH CHARGES AND DIRAC MONOPOLES
• Quantised singularities in the electromagnetic field,
• General relativity with spin and torsion: Foundations and prospects
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
• Ricci-Calculus
• Universality principle for orbital angular momentum and spin in gravity with torsion.